What is the answer to (x-20)/x = 33/100 ?

The answer to (x-20)/x = 33/100 is x= 2000/67

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(x-20)/x = 33/100

\frac{x - 20}{x} = \frac{33}{100}

x = \frac{2000}{67}

Decimal Notation

x = 29.85074 \dots

Solution steps

\frac{x - 20}{x} = \frac{33}{100}

Cross multiply

100 x - 2000 = x \cdot 33

Move

2000

to the right side

100 x = x \cdot 33 + 2000

Move

x 33

to the left side

67 x = 2000

Divide both sides by

67

x = \frac{2000}{67}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2000}{67}

\frac{4}{x} - \frac{1}{x - 1} = 9

\frac{( 1.12 + x ) ^{2}}{x ^{2}} = 6.4

\frac{3}{8 x} = 84

\frac{4}{x - 1} + \frac{2}{x - 1} = 2

2 = \frac{x}{( 1.15 - x ) ^{2}}

What is the answer to (x-20)/x = 33/100 ?
The answer to (x-20)/x = 33/100 is x= 2000/67
Solve for x: (x-20)/x = 33/100
The solution is x= 2000/67